145984500 has 72 divisors (see below), whose sum is σ = 460546632. Its totient is φ = 38928000.

The previous prime is 145984483. The next prime is 145984507. The reversal of 145984500 is 5489541.

145984500 is a `hidden beast` number, since 14 + 598 + 4 + 50 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 145298916 = 828^2 + 12054^2 .

It is a super-3 number, since 3×145984500³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145984507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11721 + ... + 20720.

It is an arithmetic number, because the mean of its divisors is an integer number (6396481).

Almost surely, 2^145984500 is an apocalyptic number.

145984500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145984500 is an abundant number, since it is smaller than the sum of its proper divisors (314562132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145984500 is a wasteful number, since it uses less digits than its factorization.

145984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32466 (or 32451 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 145984500 is about 12082.4045620067. The cubic root of 145984500 is about 526.5451080526.

The spelling of 145984500 in words is "one hundred forty-five million, nine hundred eighty-four thousand, five hundred".